L, A, Y, E, R and S live on six different floors of the same building. The…
2026
L, A, Y, E, R and S live on six different floors of the same building. The lowermost floor is numbered 1, the floor above it is numbered 2, and so on up to the topmost floor, numbered 6. S lives on floor 4. Exactly two people live between S and L. Only Y lives between S and E. A lives immediately below S. Who lives on floor 2?
Answer: C. R — ConceptIn a floor-arrangement puzzle, convert each verbal clue into a fixed position or a numerical gap before assigning the remaining places. If exactly n…
- A.
E
- B.
L
- C.
R
- D.
Y
Attempted by 26 students.
Show answer & explanation
Correct answer: C
Concept
In a floor-arrangement puzzle, convert each verbal clue into a fixed position or a numerical gap before assigning the remaining places.
If exactly n people are between two residents, their floor numbers differ by n + 1; an immediate-below relation fixes adjacent floors.
Application
Place S on floor 4, as stated.
Two people between S and L require a gap of 3 floors. From floor 4, the only valid floor for L is 1.
A lives immediately below S, so A occupies floor 3.
Only Y lives between S and E, so S and E must be two floors apart with Y in the middle. E cannot be on floor 2 because that would place Y on floor 3, which is already occupied by A. Therefore E is on floor 6 and Y is on floor 5.
The only unassigned resident is R and the only unassigned floor is 2, so R occupies floor 2.
Cross-check
Floor | Resident |
|---|---|
1 | L |
2 | R |
3 | A |
4 | S |
5 | Y |
6 | E |
The completed arrangement from bottom to top is L, R, A, S, Y, E. It satisfies every clue: S is on 4, L is three floors from S, A is immediately below S, and Y alone lies between S and E.
Therefore, R lives on floor 2.